CAT Exam > CAT Questions > Four times the sum of the digits of a two-dig...
Start Learning for Free
Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.?
Most Upvoted Answer
Four times the sum of the digits of a two-digit number is 18 less than...
Problem:
Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.
Solution:
Let's assume the two-digit number to be represented as "10a + b" where 'a' represents the tens digit and 'b' represents the units digit.
Step 1: Formulating the equation:
According to the problem statement, we can write the following equation:
4(a + b) = (10b + a) - 18
Step 2: Simplifying the equation:
Expanding the equation, we get:
4a + 4b = 10b + a - 18
Combining like terms, we get:
3a - 6b = -18
Step 3: Solving for 'a' in terms of 'b':
To solve the equation, we need to express 'a' in terms of 'b'. Rearranging the equation, we get:
3a = 6b - 18
a = 2b - 6
Step 4: Finding the value of 'b':
Since 'a' and 'b' represent the tens and units digits respectively, they must lie between 0 to 9.
Substituting the value of 'a' in terms of 'b' in the equation, we get:
2b - 6 ≥ 0
2b ≥ 6
b ≥ 3
Step 5: Finding the value of 'a':
Substituting the value of 'b' in the equation, we get:
a = 2(3) - 6
a = 0
Step 6: Finding the product of the digits:
The product of the digits can be found by multiplying 'a' and 'b':
Product of digits = a * b = 0 * 3 = 0
Conclusion:
Therefore, the product of the digits of the two-digit number is 0.
Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.
Solution:
Let's assume the two-digit number to be represented as "10a + b" where 'a' represents the tens digit and 'b' represents the units digit.
Step 1: Formulating the equation:
According to the problem statement, we can write the following equation:
4(a + b) = (10b + a) - 18
Step 2: Simplifying the equation:
Expanding the equation, we get:
4a + 4b = 10b + a - 18
Combining like terms, we get:
3a - 6b = -18
Step 3: Solving for 'a' in terms of 'b':
To solve the equation, we need to express 'a' in terms of 'b'. Rearranging the equation, we get:
3a = 6b - 18
a = 2b - 6
Step 4: Finding the value of 'b':
Since 'a' and 'b' represent the tens and units digits respectively, they must lie between 0 to 9.
Substituting the value of 'a' in terms of 'b' in the equation, we get:
2b - 6 ≥ 0
2b ≥ 6
b ≥ 3
Step 5: Finding the value of 'a':
Substituting the value of 'b' in the equation, we get:
a = 2(3) - 6
a = 0
Step 6: Finding the product of the digits:
The product of the digits can be found by multiplying 'a' and 'b':
Product of digits = a * b = 0 * 3 = 0
Conclusion:
Therefore, the product of the digits of the two-digit number is 0.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.?
Question Description
Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.?.
Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.?.
Solutions for Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? defined & explained in the simplest way possible. Besides giving the explanation of
Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.?, a detailed solution for Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? has been provided alongside types of Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? theory, EduRev gives you an
ample number of questions to practice Four times the sum of the digits of a two-digit number is 18 less than the number and 9 less than the number formed by reversing its digits. Find the product of its digits.? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup